Mathematics Homework Solutions

Accounting Finance Questions

4. Pierre Imports will be liquidated. Its current balance sheet is shown below. Fixed assets are sold for $900,000 and current assets are sold for $700,000. All fixed assets are pledged as collateral for mortgage bonds. Subordinated debentures are subordinate only to notes payable. Trustee costs are $70,000. Sale of cu ...continues

Foreign Exchange Risk

a. Is the U.S. dollar appreciating or depreciating against the Japanese yen? Explain. b. Is the U.S. dollar appreciating or depreciating against the British pound? Why? c. B. Is the U.S. dollar appreciating or depreciating against the Mexican peso? Why? d. The U.S. company orders merchandise from companies in Ja ...continues

Numerical Concepts : Definitions

Please explain or define these concepts. 1. Natural number 2. Multiplication 3. Subtraction 4. Closure for addition 5. Commutativity 6. Associativity 7. Distributivity 8. Closure for multiplication 9. Contrast commutativity and associativity

Solve for n: 1000n + 1000 = 2^n.

Solve for n: 1000n + 1000 = 2^n.

The Lucas numbers Ln are defined by the equations L1 = 1 and Ln = Fn+1 + Fn-1 for each n ≥ 2. Prove that L1 + 2L2 + 4L3 +8L4 + … + 2n – 1 Ln = 2n Fn + 1 – 1

Theory of Numbers (XIV) Principle of Mathematical Induction Fibonacci Number Lucas number The Lucas numbers Ln are defined by the equations L1 = 1 and Ln = Fn+1 + ...continues

Prove that n ( n2 – 1 )( 3n + 2 ) is divisible by 24 for each positive integer n.

Theory of Numbers (XV) Principle of Mathematical Induction Prove that n ( n2 – 1 )( 3n + 2 ) is divisible by 24 for each positive integer n. See the attached file.

Prove that if n is an odd positive integer, then x + y is a factor of xn + yn. (For example, if n = 3, then xn + yn = ( x + y )( x2 – xy + y2 ) )

Theory of Numbers (XVI) Principle of Mathematical Induction Prove that if n is an odd positive integer, then x + y is a factor of xn + yn. (For example, if n = 3, then xn + yn = ( x + y )( x2 – xy + y2 ) ...continues

Rates and Unite Prices (Basic Mathematics)

Describe a simple process for using rates and unit prices that might help someone who is having difficulty understanding these concepts. Include an example of your own to explain the solution process.

Linear Diophantine Equations

If you had an unlimited amount of 2p and 5p coins. Consider the linear diophantine equation 2x + 5y = n Show that all amounts n>=N=4 are obtainable.

Congruence

Show that if a = b (mod n) then (i) a^j = b^j (mod n) for any positive integer j (ii) ca =cb (mod n) for any integer c (iii) f(a) = f(b) (mod n) for any polynomial with integer coefficients

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